Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 676.3 | ||
Character | \(\chi\) | \(=\) | 729.676 |
Dual form | 729.2.g.c.55.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{10}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.588281 | − | 1.36379i | −0.415977 | − | 0.964344i | −0.989418 | − | 0.145096i | \(-0.953651\pi\) |
0.573440 | − | 0.819247i | \(-0.305608\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.141360 | + | 0.149832i | −0.0706798 | + | 0.0749162i | ||||
\(5\) | −0.0932044 | + | 1.60026i | −0.0416823 | + | 0.715657i | 0.911134 | + | 0.412110i | \(0.135208\pi\) |
−0.952816 | + | 0.303547i | \(0.901829\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.85061 | + | 0.438602i | −0.699465 | + | 0.165776i | −0.564937 | − | 0.825134i | \(-0.691100\pi\) |
−0.134527 | + | 0.990910i | \(0.542952\pi\) | |||||||
\(8\) | −2.50387 | − | 0.911335i | −0.885253 | − | 0.322206i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.23724 | − | 0.814290i | 0.707478 | − | 0.257501i | ||||
\(11\) | −3.38752 | + | 2.22800i | −1.02137 | + | 0.671769i | −0.945592 | − | 0.325356i | \(-0.894516\pi\) |
−0.0757828 | + | 0.997124i | \(0.524146\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.67851 | − | 0.196189i | 0.465534 | − | 0.0544131i | 0.119907 | − | 0.992785i | \(-0.461740\pi\) |
0.345627 | + | 0.938372i | \(0.387666\pi\) | |||||||
\(14\) | 1.68684 | + | 2.26582i | 0.450826 | + | 0.605565i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.254067 | + | 4.36216i | 0.0635167 | + | 1.09054i | ||||
\(17\) | 4.14727 | + | 3.47997i | 1.00586 | + | 0.844017i | 0.987785 | − | 0.155820i | \(-0.0498020\pi\) |
0.0180743 | + | 0.999837i | \(0.494246\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.70167 | − | 3.10607i | 0.849220 | − | 0.712581i | −0.110397 | − | 0.993888i | \(-0.535212\pi\) |
0.959618 | + | 0.281307i | \(0.0907679\pi\) | |||||||
\(20\) | −0.226595 | − | 0.240177i | −0.0506682 | − | 0.0537052i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.03133 | + | 3.30916i | 1.07268 | + | 0.705515i | ||||
\(23\) | 0.651612 | + | 0.154435i | 0.135870 | + | 0.0322019i | 0.297988 | − | 0.954570i | \(-0.403684\pi\) |
−0.162118 | + | 0.986771i | \(0.551832\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.41405 | + | 0.282162i | 0.482811 | + | 0.0564325i | ||||
\(26\) | −1.25499 | − | 2.17371i | −0.246124 | − | 0.426300i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.195884 | − | 0.339282i | 0.0370187 | − | 0.0641182i | ||||
\(29\) | −2.85835 | + | 3.83943i | −0.530782 | + | 0.712965i | −0.983947 | − | 0.178462i | \(-0.942888\pi\) |
0.453164 | + | 0.891427i | \(0.350295\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.39576 | + | 4.66216i | 0.250686 | + | 0.837349i | 0.987002 | + | 0.160711i | \(0.0513786\pi\) |
−0.736316 | + | 0.676638i | \(0.763436\pi\) | |||||||
\(32\) | 1.03731 | − | 0.520955i | 0.183372 | − | 0.0920927i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.30618 | − | 7.70319i | 0.395507 | − | 1.32109i | ||||
\(35\) | −0.529392 | − | 3.00233i | −0.0894836 | − | 0.507487i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.07926 | + | 11.7921i | −0.341829 | + | 1.93861i | 0.00314382 | + | 0.999995i | \(0.498999\pi\) |
−0.344973 | + | 0.938613i | \(0.612112\pi\) | |||||||
\(38\) | −6.41363 | − | 3.22105i | −1.04043 | − | 0.522523i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.69174 | − | 3.92190i | 0.267488 | − | 0.620107i | ||||
\(41\) | −4.00621 | + | 9.28743i | −0.625664 | + | 1.45045i | 0.250344 | + | 0.968157i | \(0.419456\pi\) |
−0.876009 | + | 0.482296i | \(0.839803\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.64192 | + | 3.83792i | 1.16538 | + | 0.585277i | 0.922961 | − | 0.384895i | \(-0.125762\pi\) |
0.242421 | + | 0.970171i | \(0.422059\pi\) | |||||||
\(44\) | 0.145031 | − | 0.822509i | 0.0218642 | − | 0.123998i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.172714 | − | 0.979511i | −0.0254653 | − | 0.144421i | ||||
\(47\) | 0.0578400 | − | 0.193199i | 0.00843683 | − | 0.0281810i | −0.953667 | − | 0.300863i | \(-0.902725\pi\) |
0.962104 | + | 0.272682i | \(0.0879106\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.02305 | + | 1.51823i | −0.431864 | + | 0.216890i | ||||
\(50\) | −1.03533 | − | 3.45825i | −0.146418 | − | 0.489070i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.207877 | + | 0.279228i | −0.0288274 | + | 0.0387219i | ||||
\(53\) | 2.48138 | − | 4.29788i | 0.340844 | − | 0.590359i | −0.643746 | − | 0.765240i | \(-0.722621\pi\) |
0.984590 | + | 0.174880i | \(0.0559538\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.24965 | − | 5.62856i | −0.438183 | − | 0.758955i | ||||
\(56\) | 5.03340 | + | 0.588321i | 0.672617 | + | 0.0786177i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 6.91768 | + | 1.63952i | 0.908336 | + | 0.215280i | ||||
\(59\) | 1.58520 | + | 1.04260i | 0.206375 | + | 0.135735i | 0.648489 | − | 0.761224i | \(-0.275401\pi\) |
−0.442114 | + | 0.896959i | \(0.645771\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.124028 | + | 0.131462i | 0.0158802 | + | 0.0168320i | 0.735265 | − | 0.677780i | \(-0.237058\pi\) |
−0.719385 | + | 0.694612i | \(0.755576\pi\) | |||||||
\(62\) | 5.53710 | − | 4.64618i | 0.703212 | − | 0.590065i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.37384 | + | 4.50919i | 0.671730 | + | 0.563648i | ||||
\(65\) | 0.157509 | + | 2.70433i | 0.0195366 | + | 0.335431i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.95826 | − | 10.6898i | −0.972256 | − | 1.30597i | −0.951976 | − | 0.306172i | \(-0.900952\pi\) |
−0.0202796 | − | 0.999794i | \(-0.506456\pi\) | |||||||
\(68\) | −1.10767 | + | 0.129468i | −0.134324 | + | 0.0157003i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.78311 | + | 2.48819i | −0.452168 | + | 0.297396i | ||||
\(71\) | 9.41216 | − | 3.42575i | 1.11702 | − | 0.406561i | 0.283455 | − | 0.958985i | \(-0.408519\pi\) |
0.833563 | + | 0.552424i | \(0.186297\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −10.9327 | − | 3.97917i | −1.27957 | − | 0.465726i | −0.389282 | − | 0.921119i | \(-0.627277\pi\) |
−0.890291 | + | 0.455392i | \(0.849499\pi\) | |||||||
\(74\) | 17.3051 | − | 4.10138i | 2.01168 | − | 0.476776i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.0578765 | + | 0.993701i | −0.00663889 | + | 0.113985i | ||||
\(77\) | 5.29176 | − | 5.60894i | 0.603052 | − | 0.639198i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.45390 | − | 3.37053i | −0.163577 | − | 0.379214i | 0.816638 | − | 0.577150i | \(-0.195835\pi\) |
−0.980215 | + | 0.197936i | \(0.936576\pi\) | |||||||
\(80\) | −7.00426 | −0.783100 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 15.0229 | 1.65900 | ||||||||
\(83\) | −2.17367 | − | 5.03914i | −0.238592 | − | 0.553117i | 0.756282 | − | 0.654246i | \(-0.227014\pi\) |
−0.994873 | + | 0.101129i | \(0.967755\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.95539 | + | 6.31235i | −0.645953 | + | 0.684670i | ||||
\(86\) | 0.738510 | − | 12.6797i | 0.0796356 | − | 1.36729i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 10.5124 | − | 2.49148i | 1.12062 | − | 0.265592i | ||||
\(89\) | −6.65218 | − | 2.42120i | −0.705130 | − | 0.256646i | −0.0355305 | − | 0.999369i | \(-0.511312\pi\) |
−0.669600 | + | 0.742722i | \(0.733534\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.02021 | + | 1.09927i | −0.316604 | + | 0.115234i | ||||
\(92\) | −0.115251 | + | 0.0758017i | −0.0120157 | + | 0.00790287i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.297508 | + | 0.0347738i | −0.0306857 | + | 0.00358664i | ||||
\(95\) | 4.62550 | + | 6.21312i | 0.474566 | + | 0.637453i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.0778051 | + | 1.33586i | 0.00789992 | + | 0.135636i | 0.999952 | + | 0.00980765i | \(0.00312192\pi\) |
−0.992052 | + | 0.125829i | \(0.959841\pi\) | |||||||
\(98\) | 3.84894 | + | 3.22965i | 0.388802 | + | 0.326244i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.383526 | + | 0.321817i | −0.0383526 | + | 0.0321817i | ||||
\(101\) | −3.40131 | − | 3.60518i | −0.338443 | − | 0.358729i | 0.535690 | − | 0.844415i | \(-0.320051\pi\) |
−0.874134 | + | 0.485686i | \(0.838570\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.90445 | + | 1.25258i | 0.187652 | + | 0.123420i | 0.639859 | − | 0.768493i | \(-0.278993\pi\) |
−0.452207 | + | 0.891913i | \(0.649363\pi\) | |||||||
\(104\) | −4.38156 | − | 1.03845i | −0.429648 | − | 0.101828i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −7.32115 | − | 0.855719i | −0.711092 | − | 0.0831148i | ||||
\(107\) | 2.21467 | + | 3.83593i | 0.214101 | + | 0.370833i | 0.952994 | − | 0.302989i | \(-0.0979846\pi\) |
−0.738893 | + | 0.673822i | \(0.764651\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −9.21824 | + | 15.9665i | −0.882947 | + | 1.52931i | −0.0348978 | + | 0.999391i | \(0.511111\pi\) |
−0.848049 | + | 0.529918i | \(0.822223\pi\) | |||||||
\(110\) | −5.76445 | + | 7.74301i | −0.549619 | + | 0.738267i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.38343 | − | 7.96121i | −0.225213 | − | 0.752264i | ||||
\(113\) | 8.05934 | − | 4.04755i | 0.758159 | − | 0.380762i | −0.0273390 | − | 0.999626i | \(-0.508703\pi\) |
0.785498 | + | 0.618865i | \(0.212407\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.307869 | + | 1.02835i | −0.0287089 | + | 0.0958944i | ||||
\(116\) | −0.171216 | − | 0.971014i | −0.0158970 | − | 0.0901563i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.489346 | − | 2.77522i | 0.0450479 | − | 0.255479i | ||||
\(119\) | −9.20129 | − | 4.62106i | −0.843481 | − | 0.423612i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.15438 | − | 4.99442i | 0.195853 | − | 0.454038i | ||||
\(122\) | 0.106323 | − | 0.246485i | 0.00962604 | − | 0.0223157i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.895846 | − | 0.449911i | −0.0804493 | − | 0.0404032i | ||||
\(125\) | −2.06830 | + | 11.7299i | −0.184994 | + | 1.04915i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.304561 | − | 1.72725i | −0.0270254 | − | 0.153269i | 0.968309 | − | 0.249756i | \(-0.0803504\pi\) |
−0.995334 | + | 0.0964872i | \(0.969239\pi\) | |||||||
\(128\) | 3.65408 | − | 12.2055i | 0.322978 | − | 1.07882i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 3.59547 | − | 1.80571i | 0.315344 | − | 0.158372i | ||||
\(131\) | −2.05452 | − | 6.86256i | −0.179504 | − | 0.599585i | −0.999625 | − | 0.0273945i | \(-0.991279\pi\) |
0.820121 | − | 0.572191i | \(-0.193906\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.48801 | + | 7.37168i | −0.475871 | + | 0.639205i | ||||
\(134\) | −9.89692 | + | 17.1420i | −0.854964 | + | 1.48084i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −7.21281 | − | 12.4930i | −0.618493 | − | 1.07126i | ||||
\(137\) | 17.3549 | + | 2.02850i | 1.48273 | + | 0.173307i | 0.818624 | − | 0.574329i | \(-0.194737\pi\) |
0.664109 | + | 0.747636i | \(0.268811\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −18.4877 | − | 4.38167i | −1.56811 | − | 0.371649i | −0.647478 | − | 0.762084i | \(-0.724176\pi\) |
−0.920630 | + | 0.390435i | \(0.872325\pi\) | |||||||
\(140\) | 0.524681 | + | 0.345088i | 0.0443436 | + | 0.0291653i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −10.2090 | − | 10.8209i | −0.856719 | − | 0.908069i | ||||
\(143\) | −5.24886 | + | 4.40431i | −0.438931 | + | 0.368307i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.87767 | − | 4.93195i | −0.488114 | − | 0.409576i | ||||
\(146\) | 1.00474 | + | 17.2507i | 0.0831528 | + | 1.42768i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1.47291 | − | 1.97847i | −0.121073 | − | 0.162629i | ||||
\(149\) | −7.32320 | + | 0.855959i | −0.599940 | + | 0.0701229i | −0.410642 | − | 0.911797i | \(-0.634695\pi\) |
−0.189298 | + | 0.981920i | \(0.560621\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.23139 | − | 1.46761i | 0.181588 | − | 0.119432i | −0.455461 | − | 0.890256i | \(-0.650525\pi\) |
0.637048 | + | 0.770824i | \(0.280155\pi\) | |||||||
\(152\) | −12.0992 | + | 4.40374i | −0.981372 | + | 0.357190i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −10.7624 | − | 3.91721i | −0.867262 | − | 0.315658i | ||||
\(155\) | −7.59075 | + | 1.79904i | −0.609704 | + | 0.144502i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.332250 | − | 5.70452i | 0.0265165 | − | 0.455270i | −0.958751 | − | 0.284248i | \(-0.908256\pi\) |
0.985267 | − | 0.171022i | \(-0.0547069\pi\) | |||||||
\(158\) | −3.74138 | + | 3.96563i | −0.297648 | + | 0.315489i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.736981 | + | 1.70851i | 0.0582635 | + | 0.135070i | ||||
\(161\) | −1.27361 | −0.100375 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 16.0381 | 1.25620 | 0.628100 | − | 0.778132i | \(-0.283833\pi\) | ||||
0.628100 | + | 0.778132i | \(0.283833\pi\) | |||||||
\(164\) | −0.825242 | − | 1.91313i | −0.0644406 | − | 0.149390i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −5.59359 | + | 5.92886i | −0.434147 | + | 0.460168i | ||||
\(167\) | −1.11336 | + | 19.1157i | −0.0861545 | + | 1.47922i | 0.627445 | + | 0.778661i | \(0.284101\pi\) |
−0.713599 | + | 0.700554i | \(0.752936\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.87069 | + | 2.33940i | −0.759284 | + | 0.179954i | ||||
\(170\) | 12.1121 | + | 4.40846i | 0.928959 | + | 0.338113i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.65530 | + | 0.602480i | −0.126216 | + | 0.0459387i | ||||
\(173\) | 19.7483 | − | 12.9886i | 1.50143 | − | 0.987509i | 0.509539 | − | 0.860448i | \(-0.329816\pi\) |
0.991895 | − | 0.127061i | \(-0.0405544\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.59123 | + | 0.536637i | −0.347064 | + | 0.0405660i | ||||
\(176\) | −10.5796 | − | 14.2108i | −0.797464 | − | 1.07118i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.611352 | + | 10.4965i | 0.0458228 | + | 0.786747i | ||||
\(179\) | −3.43489 | − | 2.88222i | −0.256736 | − | 0.215427i | 0.505331 | − | 0.862926i | \(-0.331371\pi\) |
−0.762066 | + | 0.647499i | \(0.775815\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.92076 | − | 2.45081i | 0.217098 | − | 0.182167i | −0.527752 | − | 0.849398i | \(-0.676965\pi\) |
0.744851 | + | 0.667231i | \(0.232521\pi\) | |||||||
\(182\) | 3.27590 | + | 3.47225i | 0.242826 | + | 0.257380i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.49081 | − | 0.980522i | −0.109904 | − | 0.0722850i | ||||
\(185\) | −18.6766 | − | 4.42643i | −1.37313 | − | 0.325438i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −21.8023 | − | 2.54833i | −1.59434 | − | 0.186352i | ||||
\(188\) | 0.0207712 | + | 0.0359768i | 0.00151490 | + | 0.00262388i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 5.75229 | − | 9.96325i | 0.417315 | − | 0.722810i | ||||
\(191\) | −10.9862 | + | 14.7571i | −0.794936 | + | 1.06778i | 0.201165 | + | 0.979557i | \(0.435527\pi\) |
−0.996100 | + | 0.0882265i | \(0.971880\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.71004 | + | 15.7326i | 0.339036 | + | 1.13246i | 0.942259 | + | 0.334886i | \(0.108698\pi\) |
−0.603223 | + | 0.797573i | \(0.706117\pi\) | |||||||
\(194\) | 1.77606 | − | 0.891972i | 0.127514 | − | 0.0640398i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.199856 | − | 0.667566i | 0.0142754 | − | 0.0476833i | ||||
\(197\) | −3.25113 | − | 18.4381i | −0.231633 | − | 1.31366i | −0.849589 | − | 0.527445i | \(-0.823150\pi\) |
0.617956 | − | 0.786213i | \(-0.287961\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.155470 | − | 0.881713i | 0.0110210 | − | 0.0625029i | −0.978801 | − | 0.204812i | \(-0.934342\pi\) |
0.989822 | + | 0.142309i | \(0.0454527\pi\) | |||||||
\(200\) | −5.78734 | − | 2.90651i | −0.409227 | − | 0.205521i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.91577 | + | 6.75953i | −0.205153 | + | 0.475599i | ||||
\(203\) | 3.60571 | − | 8.35897i | 0.253071 | − | 0.586685i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −14.4889 | − | 7.27659i | −1.01195 | − | 0.508219i | ||||
\(206\) | 0.587899 | − | 3.33414i | 0.0409609 | − | 0.232301i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.28226 | + | 7.27206i | 0.0889088 | + | 0.504227i | ||||
\(209\) | −5.61912 | + | 18.7692i | −0.388683 | + | 1.29829i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.3695 | − | 6.71439i | 0.920391 | − | 0.462238i | 0.0754817 | − | 0.997147i | \(-0.475951\pi\) |
0.844909 | + | 0.534909i | \(0.179654\pi\) | |||||||
\(212\) | 0.293194 | + | 0.979338i | 0.0201367 | + | 0.0672612i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.92854 | − | 5.27695i | 0.268550 | − | 0.360725i | ||||
\(215\) | −6.85392 | + | 11.8713i | −0.467433 | + | 0.809618i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.62784 | − | 8.01565i | −0.314158 | − | 0.544138i | ||||
\(218\) | 27.1978 | + | 3.17896i | 1.84206 | + | 0.215306i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 1.30271 | + | 0.308748i | 0.0878286 | + | 0.0208158i | ||||
\(221\) | 7.64395 | + | 5.02750i | 0.514188 | + | 0.338186i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.25530 | + | 4.51035i | 0.284956 | + | 0.302036i | 0.854002 | − | 0.520270i | \(-0.174169\pi\) |
−0.569046 | + | 0.822306i | \(0.692687\pi\) | |||||||
\(224\) | −1.69116 | + | 1.41905i | −0.112995 | + | 0.0948142i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.2612 | − | 8.61013i | −0.682562 | − | 0.572737i | ||||
\(227\) | −0.830506 | − | 14.2592i | −0.0551226 | − | 0.946419i | −0.906590 | − | 0.422012i | \(-0.861324\pi\) |
0.851468 | − | 0.524407i | \(-0.175713\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 11.6644 | + | 15.6680i | 0.770804 | + | 1.03537i | 0.998104 | + | 0.0615447i | \(0.0196027\pi\) |
−0.227300 | + | 0.973825i | \(0.572990\pi\) | |||||||
\(230\) | 1.58357 | − | 0.185093i | 0.104417 | − | 0.0122046i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 10.6560 | − | 7.00853i | 0.699598 | − | 0.460133i | ||||
\(233\) | 8.91628 | − | 3.24526i | 0.584125 | − | 0.212604i | −0.0330187 | − | 0.999455i | \(-0.510512\pi\) |
0.617143 | + | 0.786851i | \(0.288290\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.303777 | + | 0.110566i | 0.0198162 | + | 0.00721252i | ||||
\(236\) | −0.380298 | + | 0.0901324i | −0.0247553 | + | 0.00586712i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.889207 | + | 15.2671i | −0.0576387 | + | 0.989619i | ||||
\(239\) | −7.55122 | + | 8.00383i | −0.488448 | + | 0.517725i | −0.923976 | − | 0.382451i | \(-0.875080\pi\) |
0.435528 | + | 0.900175i | \(0.356562\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.867612 | − | 2.01135i | −0.0558878 | − | 0.129562i | 0.887984 | − | 0.459874i | \(-0.152105\pi\) |
−0.943872 | + | 0.330312i | \(0.892846\pi\) | |||||||
\(242\) | −8.07871 | −0.519319 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.0372298 | −0.00238340 | ||||||||
\(245\) | −2.14780 | − | 4.97916i | −0.137218 | − | 0.318107i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.60389 | − | 5.93978i | 0.356567 | − | 0.377939i | ||||
\(248\) | 0.753987 | − | 12.9455i | 0.0478782 | − | 0.822038i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 17.2138 | − | 4.07975i | 1.08870 | − | 0.258026i | ||||
\(251\) | 6.59388 | + | 2.39998i | 0.416202 | + | 0.151485i | 0.541629 | − | 0.840618i | \(-0.317808\pi\) |
−0.125427 | + | 0.992103i | \(0.540030\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.55143 | + | 0.928643i | −0.160407 | + | 0.0583833i | ||||
\(254\) | −2.17644 | + | 1.43147i | −0.136562 | + | 0.0898181i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −4.86005 | + | 0.568059i | −0.303753 | + | 0.0355037i | ||||
\(257\) | −0.279271 | − | 0.375126i | −0.0174205 | − | 0.0233997i | 0.793328 | − | 0.608795i | \(-0.208347\pi\) |
−0.810748 | + | 0.585395i | \(0.800939\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.32414 | − | 22.7345i | −0.0822778 | − | 1.41265i | ||||
\(260\) | −0.427461 | − | 0.358683i | −0.0265100 | − | 0.0222446i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.15045 | + | 6.83904i | −0.503536 | + | 0.422517i | ||||
\(263\) | −13.0974 | − | 13.8824i | −0.807621 | − | 0.856028i | 0.184302 | − | 0.982870i | \(-0.440997\pi\) |
−0.991923 | + | 0.126842i | \(0.959516\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 6.64644 | + | 4.37143i | 0.408288 | + | 0.268535i | ||||
\(266\) | 13.2819 | + | 3.14787i | 0.814365 | + | 0.193008i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 2.72665 | + | 0.318700i | 0.166557 | + | 0.0194677i | ||||
\(269\) | −2.12061 | − | 3.67300i | −0.129296 | − | 0.223947i | 0.794108 | − | 0.607776i | \(-0.207938\pi\) |
−0.923404 | + | 0.383830i | \(0.874605\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.83162 | + | 6.63656i | −0.232754 | + | 0.403142i | −0.958618 | − | 0.284697i | \(-0.908107\pi\) |
0.725863 | + | 0.687839i | \(0.241440\pi\) | |||||||
\(272\) | −14.1265 | + | 18.9752i | −0.856544 | + | 1.15054i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.44313 | − | 24.8618i | −0.449656 | − | 1.50196i | ||||
\(275\) | −8.80630 | + | 4.42269i | −0.531040 | + | 0.266698i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −4.25476 | + | 14.2119i | −0.255644 | + | 0.853909i | 0.729764 | + | 0.683699i | \(0.239630\pi\) |
−0.985408 | + | 0.170210i | \(0.945555\pi\) | |||||||
\(278\) | 4.90030 | + | 27.7910i | 0.293901 | + | 1.66679i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −1.41060 | + | 7.99991i | −0.0842995 | + | 0.478086i | ||||
\(281\) | 0.994631 | + | 0.499522i | 0.0593347 | + | 0.0297990i | 0.478219 | − | 0.878241i | \(-0.341282\pi\) |
−0.418884 | + | 0.908040i | \(0.637579\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2.61783 | + | 6.06882i | −0.155614 | + | 0.360754i | −0.978132 | − | 0.207985i | \(-0.933309\pi\) |
0.822518 | + | 0.568739i | \(0.192569\pi\) | |||||||
\(284\) | −0.817211 | + | 1.89451i | −0.0484926 | + | 0.112418i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.09435 | + | 4.56735i | 0.537760 | + | 0.270073i | ||||
\(287\) | 3.34043 | − | 18.9445i | 0.197179 | − | 1.11826i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.13761 | + | 12.1230i | 0.125742 | + | 0.713117i | ||||
\(290\) | −3.26841 | + | 10.9173i | −0.191928 | + | 0.641084i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.14165 | − | 1.07557i | 0.125330 | − | 0.0629432i | ||||
\(293\) | −0.892759 | − | 2.98202i | −0.0521555 | − | 0.174212i | 0.927943 | − | 0.372721i | \(-0.121575\pi\) |
−0.980099 | + | 0.198509i | \(0.936390\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.81618 | + | 2.43955i | −0.105742 | + | 0.142036i | ||||
\(296\) | 15.9528 | − | 27.6310i | 0.927235 | − | 1.60602i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.47544 | + | 9.48374i | 0.317184 | + | 0.549379i | ||||
\(299\) | 1.12403 | + | 0.131381i | 0.0650045 | + | 0.00759794i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −15.8255 | − | 3.75072i | −0.912168 | − | 0.216188i | ||||
\(302\) | −3.31418 | − | 2.17977i | −0.190710 | − | 0.125432i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 14.4896 | + | 15.3581i | 0.831037 | + | 0.880848i | ||||
\(305\) | −0.221933 | + | 0.186224i | −0.0127079 | + | 0.0106632i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.76257 | − | 4.83537i | −0.328887 | − | 0.275969i | 0.463359 | − | 0.886171i | \(-0.346644\pi\) |
−0.792246 | + | 0.610202i | \(0.791088\pi\) | |||||||
\(308\) | 0.0923596 | + | 1.58575i | 0.00526268 | + | 0.0903567i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 6.91900 | + | 9.29383i | 0.392973 | + | 0.527854i | ||||
\(311\) | 15.2831 | − | 1.78634i | 0.866628 | − | 0.101294i | 0.328851 | − | 0.944382i | \(-0.393338\pi\) |
0.537777 | + | 0.843087i | \(0.319264\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 3.31693 | − | 2.18158i | 0.187484 | − | 0.123310i | −0.452297 | − | 0.891867i | \(-0.649395\pi\) |
0.639781 | + | 0.768557i | \(0.279025\pi\) | |||||||
\(314\) | −7.97521 | + | 2.90274i | −0.450067 | + | 0.163811i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.710537 | + | 0.258614i | 0.0399708 | + | 0.0145482i | ||||
\(317\) | 8.34397 | − | 1.97756i | 0.468644 | − | 0.111071i | 0.0104930 | − | 0.999945i | \(-0.496660\pi\) |
0.458151 | + | 0.888874i | \(0.348512\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.12844 | − | 19.3746i | 0.0631805 | − | 1.08477i | ||||
\(320\) | −7.71673 | + | 8.17925i | −0.431378 | + | 0.457234i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.749242 | + | 1.73694i | 0.0417536 | + | 0.0967958i | ||||
\(323\) | 26.1608 | 1.45563 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 4.10736 | 0.227835 | ||||||||
\(326\) | −9.43490 | − | 21.8726i | −0.522551 | − | 1.21141i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 18.4950 | − | 19.6035i | 1.02121 | − | 1.08242i | ||||
\(329\) | −0.0223016 | + | 0.382905i | −0.00122953 | + | 0.0211102i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −9.07927 | + | 2.15183i | −0.499042 | + | 0.118275i | −0.472425 | − | 0.881371i | \(-0.656621\pi\) |
−0.0266164 | + | 0.999646i | \(0.508473\pi\) | |||||||
\(332\) | 1.06230 | + | 0.386644i | 0.0583010 | + | 0.0212198i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 26.7247 | − | 9.72699i | 1.46231 | − | 0.532237i | ||||
\(335\) | 17.8482 | − | 11.7389i | 0.975150 | − | 0.641366i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.37776 | + | 0.511687i | −0.238472 | + | 0.0278734i | −0.234489 | − | 0.972119i | \(-0.575342\pi\) |
−0.00398267 | + | 0.999992i | \(0.501268\pi\) | |||||||
\(338\) | 8.99717 | + | 12.0853i | 0.489382 | + | 0.657354i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.103942 | − | 1.78462i | −0.00563706 | − | 0.0967847i | ||||
\(341\) | −15.1155 | − | 12.6834i | −0.818548 | − | 0.686844i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.1270 | − | 12.6931i | 0.816782 | − | 0.685362i | ||||
\(344\) | −15.6368 | − | 16.5740i | −0.843078 | − | 0.893610i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −29.3313 | − | 19.2915i | −1.57686 | − | 1.03712i | ||||
\(347\) | 19.4982 | + | 4.62117i | 1.04672 | + | 0.248077i | 0.717777 | − | 0.696273i | \(-0.245160\pi\) |
0.328943 | + | 0.944350i | \(0.393308\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 33.4202 | + | 3.90626i | 1.78894 | + | 0.209097i | 0.944939 | − | 0.327245i | \(-0.106120\pi\) |
0.844001 | + | 0.536342i | \(0.180194\pi\) | |||||||
\(350\) | 3.43279 | + | 5.94576i | 0.183490 | + | 0.317814i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −2.35320 | + | 4.07587i | −0.125426 | + | 0.217244i | ||||
\(353\) | 4.81620 | − | 6.46927i | 0.256340 | − | 0.344325i | −0.655259 | − | 0.755404i | \(-0.727441\pi\) |
0.911600 | + | 0.411079i | \(0.134848\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.60483 | + | 15.3812i | 0.244399 | + | 0.816349i | ||||
\(356\) | 1.30312 | − | 0.654453i | 0.0690654 | − | 0.0346859i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.91005 | + | 6.38002i | −0.100949 | + | 0.337194i | ||||
\(359\) | −2.83469 | − | 16.0764i | −0.149609 | − | 0.848477i | −0.963550 | − | 0.267529i | \(-0.913793\pi\) |
0.813940 | − | 0.580948i | \(-0.197318\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.755367 | − | 4.28390i | 0.0397562 | − | 0.225468i | ||||
\(362\) | −5.06061 | − | 2.54153i | −0.265980 | − | 0.133580i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.262230 | − | 0.607917i | 0.0137446 | − | 0.0318635i | ||||
\(365\) | 7.38667 | − | 17.1242i | 0.386636 | − | 0.896323i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 11.7615 | + | 5.90686i | 0.613947 | + | 0.308336i | 0.728462 | − | 0.685086i | \(-0.240235\pi\) |
−0.114516 | + | 0.993421i | \(0.536532\pi\) | |||||||
\(368\) | −0.508116 | + | 2.88167i | −0.0264874 | + | 0.150217i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4.95036 | + | 28.0749i | 0.257357 | + | 1.45954i | ||||
\(371\) | −2.70701 | + | 9.04204i | −0.140541 | + | 0.469439i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.194504 | − | 0.0976835i | 0.0100710 | − | 0.00505786i | −0.443757 | − | 0.896147i | \(-0.646354\pi\) |
0.453828 | + | 0.891090i | \(0.350058\pi\) | |||||||
\(374\) | 9.35050 | + | 31.2329i | 0.483503 | + | 1.61501i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.320893 | + | 0.431034i | −0.0165488 | + | 0.0222289i | ||||
\(377\) | −4.04451 | + | 7.00529i | −0.208303 | + | 0.360791i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.0931 | + | 20.9458i | 0.621180 | + | 1.07592i | 0.989266 | + | 0.146124i | \(0.0466797\pi\) |
−0.368086 | + | 0.929792i | \(0.619987\pi\) | |||||||
\(380\) | −1.58478 | − | 0.185235i | −0.0812977 | − | 0.00950234i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 26.5885 | + | 6.30159i | 1.36039 | + | 0.322417i | ||||
\(383\) | 7.06738 | + | 4.64829i | 0.361126 | + | 0.237516i | 0.717086 | − | 0.696985i | \(-0.245476\pi\) |
−0.355960 | + | 0.934501i | \(0.615846\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 8.48253 | + | 8.99096i | 0.432310 | + | 0.458222i | ||||
\(386\) | 18.6851 | − | 15.6787i | 0.951048 | − | 0.798024i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.211154 | − | 0.177179i | −0.0107197 | − | 0.00899491i | ||||
\(389\) | 1.46030 | + | 25.0723i | 0.0740400 | + | 1.27122i | 0.806839 | + | 0.590772i | \(0.201177\pi\) |
−0.732799 | + | 0.680446i | \(0.761786\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.16498 | + | 2.90807i | 0.109488 | + | 0.147067i | ||||
\(392\) | 8.95294 | − | 1.04645i | 0.452192 | − | 0.0528536i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −23.2330 | + | 15.2806i | −1.17046 | + | 0.769826i | ||||
\(395\) | 5.52922 | − | 2.01247i | 0.278205 | − | 0.101258i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 23.8173 | + | 8.66880i | 1.19536 | + | 0.435074i | 0.861602 | − | 0.507585i | \(-0.169462\pi\) |
0.333756 | + | 0.942660i | \(0.391684\pi\) | |||||||
\(398\) | −1.29393 | + | 0.306667i | −0.0648588 | + | 0.0153718i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.617506 | + | 10.6022i | −0.0308753 | + | 0.530108i | ||||
\(401\) | 16.2900 | − | 17.2664i | 0.813483 | − | 0.862242i | −0.179097 | − | 0.983831i | \(-0.557318\pi\) |
0.992580 | + | 0.121589i | \(0.0387991\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.25746 | + | 7.55163i | 0.162265 | + | 0.376174i | ||||
\(404\) | 1.02098 | 0.0507957 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −13.5210 | −0.671037 | ||||||||
\(407\) | −19.2293 | − | 44.5785i | −0.953160 | − | 2.20967i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.44213 | + | 6.82826i | −0.318543 | + | 0.337636i | −0.866783 | − | 0.498685i | \(-0.833816\pi\) |
0.548240 | + | 0.836321i | \(0.315298\pi\) | |||||||
\(410\) | −1.40020 | + | 24.0404i | −0.0691508 | + | 1.18727i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.456890 | + | 0.108285i | −0.0225093 | + | 0.00533481i | ||||
\(413\) | −3.39087 | − | 1.23418i | −0.166854 | − | 0.0607298i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.26652 | − | 3.00877i | 0.405787 | − | 0.147695i | ||||
\(416\) | 1.63892 | − | 1.07794i | 0.0803547 | − | 0.0528501i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 28.9028 | − | 3.37825i | 1.41368 | − | 0.165236i | ||||
\(419\) | −7.01065 | − | 9.41694i | −0.342493 | − | 0.460048i | 0.597187 | − | 0.802102i | \(-0.296285\pi\) |
−0.939680 | + | 0.342054i | \(0.888877\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.393410 | − | 6.75459i | −0.0191736 | − | 0.329199i | −0.994232 | − | 0.107250i | \(-0.965795\pi\) |
0.975058 | − | 0.221948i | \(-0.0712416\pi\) | |||||||
\(422\) | −17.0220 | − | 14.2831i | −0.828618 | − | 0.695293i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −10.1299 | + | 8.49998i | −0.491950 | + | 0.412795i | ||||
\(425\) | 9.02980 | + | 9.57103i | 0.438010 | + | 0.464263i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.287187 | − | 0.188886i | −0.0138980 | − | 0.00914083i | ||||
\(428\) | −0.887812 | − | 0.210415i | −0.0429140 | − | 0.0101708i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 20.2220 | + | 2.36361i | 0.975191 | + | 0.113984i | ||||
\(431\) | 3.90563 | + | 6.76475i | 0.188128 | + | 0.325846i | 0.944626 | − | 0.328149i | \(-0.106425\pi\) |
−0.756498 | + | 0.653996i | \(0.773092\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.20878 | + | 3.82573i | −0.106147 | + | 0.183853i | −0.914206 | − | 0.405249i | \(-0.867185\pi\) |
0.808059 | + | 0.589102i | \(0.200518\pi\) | |||||||
\(434\) | −8.20918 | + | 11.0268i | −0.394053 | + | 0.529305i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.08921 | − | 3.63820i | −0.0521635 | − | 0.174238i | ||||
\(437\) | 2.89173 | − | 1.45228i | 0.138330 | − | 0.0694721i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.31161 | − | 14.4018i | 0.205782 | − | 0.687360i | −0.791328 | − | 0.611392i | \(-0.790610\pi\) |
0.997110 | − | 0.0759684i | \(-0.0242048\pi\) | |||||||
\(440\) | 3.00721 | + | 17.0547i | 0.143363 | + | 0.813052i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.35966 | − | 13.3823i | 0.112238 | − | 0.636531i | ||||
\(443\) | 10.1485 | + | 5.09675i | 0.482168 | + | 0.242154i | 0.673243 | − | 0.739422i | \(-0.264901\pi\) |
−0.191075 | + | 0.981576i | \(0.561197\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.49455 | − | 10.4195i | 0.213062 | − | 0.493934i | ||||
\(446\) | 3.64786 | − | 8.45668i | 0.172731 | − | 0.400435i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −11.9226 | − | 5.98776i | −0.563291 | − | 0.282895i | ||||
\(449\) | −1.16004 | + | 6.57891i | −0.0547457 | + | 0.310478i | −0.999868 | − | 0.0162381i | \(-0.994831\pi\) |
0.945122 | + | 0.326716i | \(0.105942\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.12134 | − | 40.3871i | −0.335331 | − | 1.90176i | ||||
\(452\) | −0.532810 | + | 1.77971i | −0.0250613 | + | 0.0837105i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −18.9580 | + | 9.52106i | −0.889743 | + | 0.446846i | ||||
\(455\) | −1.47761 | − | 4.93557i | −0.0692716 | − | 0.231383i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.17351 | − | 9.63570i | 0.335563 | − | 0.450739i | −0.602030 | − | 0.798473i | \(-0.705641\pi\) |
0.937593 | + | 0.347734i | \(0.113049\pi\) | |||||||
\(458\) | 14.5059 | − | 25.1249i | 0.677815 | − | 1.17401i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.110560 | − | 0.191496i | −0.00515490 | − | 0.00892855i | ||||
\(461\) | −6.95142 | − | 0.812504i | −0.323760 | − | 0.0378421i | −0.0473393 | − | 0.998879i | \(-0.515074\pi\) |
−0.276421 | + | 0.961037i | \(0.589148\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 27.2778 | + | 6.46495i | 1.26771 | + | 0.300452i | 0.808827 | − | 0.588047i | \(-0.200103\pi\) |
0.458879 | + | 0.888499i | \(0.348251\pi\) | |||||||
\(464\) | −17.4744 | − | 11.4931i | −0.811229 | − | 0.533554i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −9.67112 | − | 10.2508i | −0.448006 | − | 0.474858i | ||||
\(467\) | −10.9662 | + | 9.20178i | −0.507458 | + | 0.425807i | −0.860233 | − | 0.509900i | \(-0.829682\pi\) |
0.352776 | + | 0.935708i | \(0.385238\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 19.4162 | + | 16.2921i | 0.896557 | + | 0.752300i | ||||
\(470\) | −0.0279179 | − | 0.479331i | −0.00128776 | − | 0.0221099i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.01898 | − | 4.05519i | −0.138960 | − | 0.186655i | ||||
\(473\) | −34.4380 | + | 4.02523i | −1.58346 | + | 0.185080i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 9.81243 | − | 6.45374i | 0.450225 | − | 0.296118i | ||||
\(476\) | 1.99307 | − | 0.725420i | 0.0913524 | − | 0.0332496i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 15.3578 | + | 5.58977i | 0.702448 | + | 0.255670i | ||||
\(479\) | −21.8904 | + | 5.18813i | −1.00020 | + | 0.237052i | −0.697926 | − | 0.716170i | \(-0.745894\pi\) |
−0.302273 | + | 0.953221i | \(0.597745\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.17658 | + | 20.2010i | −0.0536473 | + | 0.921088i | ||||
\(482\) | −2.23266 | + | 2.36648i | −0.101695 | + | 0.107790i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.443783 | + | 1.02881i | 0.0201720 | + | 0.0467639i | ||||
\(485\) | −2.14498 | −0.0973984 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −41.7203 | −1.89053 | −0.945264 | − | 0.326307i | \(-0.894196\pi\) | ||||
−0.945264 | + | 0.326307i | \(0.894196\pi\) | |||||||
\(488\) | −0.190745 | − | 0.442196i | −0.00863460 | − | 0.0200173i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.52701 | + | 5.85829i | −0.249685 | + | 0.264650i | ||||
\(491\) | 0.643607 | − | 11.0503i | 0.0290456 | − | 0.498694i | −0.952144 | − | 0.305649i | \(-0.901127\pi\) |
0.981190 | − | 0.193045i | \(-0.0618363\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −25.2154 | + | 5.97617i | −1.13565 | + | 0.269153i | ||||
\(494\) | −11.3973 | − | 4.14826i | −0.512787 | − | 0.186639i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −19.9825 | + | 7.27302i | −0.897239 | + | 0.326568i | ||||
\(497\) | −15.9157 | + | 10.4679i | −0.713917 | + | 0.469550i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.76171 | + | 0.907214i | −0.347462 | + | 0.0406125i | −0.288034 | − | 0.957620i | \(-0.593002\pi\) |
−0.0594278 | + | 0.998233i | \(0.518928\pi\) | |||||||
\(500\) | −1.46514 | − | 1.96803i | −0.0655232 | − | 0.0880130i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.605994 | − | 10.4045i | −0.0270468 | − | 0.464376i | ||||
\(503\) | 18.1547 | + | 15.2336i | 0.809478 | + | 0.679233i | 0.950483 | − | 0.310776i | \(-0.100589\pi\) |
−0.141005 | + | 0.990009i | \(0.545033\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.08624 | − | 5.10696i | 0.270834 | − | 0.227257i | ||||
\(506\) | 2.76743 | + | 2.93330i | 0.123027 | + | 0.130401i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.301851 | + | 0.198530i | 0.0133925 | + | 0.00880836i | ||||
\(509\) | 12.1281 | + | 2.87442i | 0.537570 | + | 0.127406i | 0.490428 | − | 0.871482i | \(-0.336841\pi\) |
0.0471419 | + | 0.998888i | \(0.484989\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 21.9774 | + | 2.56879i | 0.972222 | + | 0.113636i | ||||
\(512\) | −9.10692 | − | 15.7736i | −0.402473 | − | 0.697103i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.347303 | + | 0.601546i | −0.0153189 | + | 0.0265331i | ||||
\(515\) | −2.18195 | + | 2.93087i | −0.0961484 | + | 0.129150i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.234514 | + | 0.783332i | 0.0103139 | + | 0.0344509i | ||||
\(518\) | −30.2261 | + | 15.1801i | −1.32806 | + | 0.666976i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.07017 | − | 6.91484i | 0.0907829 | − | 0.303236i | ||||
\(521\) | 3.66734 | + | 20.7985i | 0.160669 | + | 0.911200i | 0.953418 | + | 0.301652i | \(0.0975380\pi\) |
−0.792749 | + | 0.609548i | \(0.791351\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.23247 | − | 41.0174i | 0.316254 | − | 1.79356i | −0.248848 | − | 0.968543i | \(-0.580052\pi\) |
0.565102 | − | 0.825021i | \(-0.308837\pi\) | |||||||
\(524\) | 1.31866 | + | 0.662256i | 0.0576059 | + | 0.0289308i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.2277 | + | 26.0288i | −0.489553 | + | 1.13491i | ||||
\(527\) | −10.4356 | + | 24.1924i | −0.454581 | + | 1.05384i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −20.1528 | − | 10.1211i | −0.876209 | − | 0.440049i | ||||
\(530\) | 2.05173 | − | 11.6360i | 0.0891217 | − | 0.505434i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.328733 | − | 1.86434i | −0.0142524 | − | 0.0808293i | ||||
\(533\) | −4.90235 | + | 16.3750i | −0.212344 | + | 0.709279i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.34489 | + | 3.18653i | −0.274314 | + | 0.137766i | ||||
\(536\) | 10.1845 | + | 34.0185i | 0.439902 | + | 1.46938i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.76168 | + | 5.05281i | −0.162177 | + | 0.217842i | ||||
\(539\) | 6.85799 | − | 11.8784i | 0.295395 | − | 0.511638i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.87647 | − | 8.44629i | −0.209656 | − | 0.363134i | 0.741950 | − | 0.670455i | \(-0.233901\pi\) |
−0.951606 | + | 0.307320i | \(0.900568\pi\) | |||||||
\(542\) | 11.3049 | + | 1.32136i | 0.485588 | + | 0.0567571i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 6.11490 | + | 1.44926i | 0.262174 | + | 0.0621364i | ||||
\(545\) | −24.6913 | − | 16.2397i | −1.05766 | − | 0.695632i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.475687 | − | 0.504198i | −0.0203389 | − | 0.0215580i | 0.717124 | − | 0.696945i | \(-0.245458\pi\) |
−0.737463 | + | 0.675387i | \(0.763976\pi\) | |||||||
\(548\) | −2.75722 | + | 2.31358i | −0.117783 | + | 0.0988314i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 11.2122 | + | 9.40814i | 0.478089 | + | 0.401164i | ||||
\(551\) | 1.34487 | + | 23.0905i | 0.0572934 | + | 0.983689i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.16893 | + | 5.59984i | 0.177281 | + | 0.238130i | ||||
\(554\) | 21.8850 | − | 2.55799i | 0.929804 | − | 0.108678i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.26993 | − | 2.15067i | 0.138676 | − | 0.0912087i | ||||
\(557\) | −28.7125 | + | 10.4505i | −1.21659 | + | 0.442801i | −0.868984 | − | 0.494841i | \(-0.835226\pi\) |
−0.347602 | + | 0.937642i | \(0.613004\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 13.5800 | + | 4.94270i | 0.574371 | + | 0.209054i | ||||
\(560\) | 12.9621 | − | 3.07208i | 0.547751 | − | 0.129819i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.0961204 | − | 1.65032i | 0.00405460 | − | 0.0696147i | ||||
\(563\) | 6.68923 | − | 7.09017i | 0.281918 | − | 0.298815i | −0.570905 | − | 0.821016i | \(-0.693407\pi\) |
0.852822 | + | 0.522201i | \(0.174889\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.72596 | + | 13.2743i | 0.240893 | + | 0.558453i | ||||
\(566\) | 9.81660 | 0.412622 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −26.6889 | −1.11984 | ||||||||
\(569\) | −7.79560 | − | 18.0722i | −0.326808 | − | 0.757627i | −0.999838 | − | 0.0180113i | \(-0.994267\pi\) |
0.673029 | − | 0.739616i | \(-0.264993\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.6458 | − | 24.0031i | 0.947697 | − | 1.00450i | −0.0522860 | − | 0.998632i | \(-0.516651\pi\) |
0.999983 | − | 0.00586776i | \(-0.00186778\pi\) | |||||||
\(572\) | 0.0820673 | − | 1.40904i | 0.00343140 | − | 0.0589149i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −27.8014 | + | 6.58906i | −1.16041 | + | 0.275022i | ||||
\(575\) | 1.52945 | + | 0.556674i | 0.0637824 | + | 0.0232149i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −19.1279 | + | 6.96197i | −0.796303 | + | 0.289831i | −0.707954 | − | 0.706259i | \(-0.750381\pi\) |
−0.0883494 | + | 0.996090i | \(0.528159\pi\) | |||||||
\(578\) | 15.2757 | − | 10.0470i | 0.635384 | − | 0.417899i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.56983 | − | 0.183487i | 0.0651837 | − | 0.00761888i | ||||
\(581\) | 6.23280 | + | 8.37210i | 0.258580 | + | 0.347333i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.16997 | + | 20.0877i | 0.0484553 | + | 0.831946i | ||||
\(584\) | 23.7477 | + | 19.9267i | 0.982686 | + | 0.824571i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −3.54165 | + | 2.97180i | −0.146304 | + | 0.122764i | ||||
\(587\) | 24.1185 | + | 25.5641i | 0.995477 | + | 1.05514i | 0.998478 | + | 0.0551480i | \(0.0175631\pi\) |
−0.00300161 | + | 0.999995i | \(0.500955\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 19.6476 | + | 12.9224i | 0.809566 | + | 0.532460i | ||||
\(590\) | 4.39545 | + | 1.04174i | 0.180958 | + | 0.0428878i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −51.9672 | − | 6.07410i | −2.13584 | − | 0.249644i | ||||
\(593\) | −4.46816 | − | 7.73909i | −0.183485 | − | 0.317806i | 0.759580 | − | 0.650414i | \(-0.225405\pi\) |
−0.943065 | + | 0.332608i | \(0.892071\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.25249 | − | 14.2937i | 0.338319 | − | 0.585986i | ||||
\(596\) | 0.906953 | − | 1.21825i | 0.0371503 | − | 0.0499015i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.482071 | − | 1.61023i | −0.0197134 | − | 0.0658472i | ||||
\(599\) | −35.4506 | + | 17.8040i | −1.44847 | + | 0.727451i | −0.987152 | − | 0.159782i | \(-0.948921\pi\) |
−0.461322 | + | 0.887233i | \(0.652625\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.78673 | + | 22.6693i | −0.276837 | + | 0.924699i | 0.700615 | + | 0.713539i | \(0.252909\pi\) |
−0.977452 | + | 0.211159i | \(0.932276\pi\) | |||||||
\(602\) | 4.19466 | + | 23.7891i | 0.170962 | + | 0.969572i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.0955328 | + | 0.541794i | −0.00388718 | + | 0.0220453i | ||||
\(605\) | 7.79156 | + | 3.91307i | 0.316772 | + | 0.159089i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.03429 | − | 16.3073i | 0.285513 | − | 0.661893i | −0.713745 | − | 0.700405i | \(-0.753003\pi\) |
0.999258 | + | 0.0385121i | \(0.0122618\pi\) | |||||||
\(608\) | 2.22164 | − | 5.15035i | 0.0900995 | − | 0.208874i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.384529 | + | 0.193118i | 0.0155691 | + | 0.00781911i | ||||
\(611\) | 0.0591812 | − | 0.335633i | 0.00239422 | − | 0.0135783i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −0.410662 | − | 2.32898i | −0.0165865 | − | 0.0940666i | 0.975391 | − | 0.220483i | \(-0.0707635\pi\) |
−0.991977 | + | 0.126417i | \(0.959652\pi\) | |||||||
\(614\) | −3.20441 | + | 10.7035i | −0.129319 | + | 0.431957i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −18.3615 | + | 9.22150i | −0.739807 | + | 0.371545i | ||||
\(617\) | −9.69418 | − | 32.3808i | −0.390273 | − | 1.30360i | −0.897204 | − | 0.441616i | \(-0.854405\pi\) |
0.506931 | − | 0.861986i | \(-0.330780\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 28.3599 | − | 38.0940i | 1.13988 | − | 1.53113i | 0.330537 | − | 0.943793i | \(-0.392770\pi\) |
0.809345 | − | 0.587334i | \(-0.199823\pi\) | |||||||
\(620\) | 0.803470 | − | 1.39165i | 0.0322681 | − | 0.0558901i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −11.4270 | − | 19.7921i | −0.458180 | − | 0.793591i | ||||
\(623\) | 13.3725 | + | 1.56303i | 0.535759 | + | 0.0626213i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.75322 | − | 1.60054i | −0.270129 | − | 0.0640217i | ||||
\(626\) | −4.92649 | − | 3.24021i | −0.196902 | − | 0.129505i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.807755 | + | 0.856170i | 0.0322329 | + | 0.0341649i | ||||
\(629\) | −49.6594 | + | 41.6692i | −1.98005 | + | 1.66146i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.6874 | − | 12.3242i | −0.584695 | − | 0.490617i | 0.301790 | − | 0.953374i | \(-0.402416\pi\) |
−0.886485 | + | 0.462757i | \(0.846860\pi\) | |||||||
\(632\) | 0.568709 | + | 9.76436i | 0.0226220 | + | 0.388406i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −7.60557 | − | 10.2161i | −0.302056 | − | 0.405731i | ||||
\(635\) | 2.79244 | − | 0.326389i | 0.110814 | − | 0.0129523i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.77634 | + | 3.14145i | −0.189246 | + | 0.124469i | ||||
\(638\) | −27.0866 | + | 9.85872i | −1.07237 | + | 0.390311i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 19.1913 | + | 6.98507i | 0.758603 | + | 0.276109i | ||||
\(641\) | 2.04822 | − | 0.485436i | 0.0808997 | − | 0.0191736i | −0.189967 | − | 0.981791i | \(-0.560838\pi\) |
0.270866 | + | 0.962617i | \(0.412690\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.54772 | − | 43.7427i | 0.100472 | − | 1.72504i | −0.452433 | − | 0.891798i | \(-0.649444\pi\) |
0.552905 | − | 0.833244i | \(-0.313519\pi\) | |||||||
\(644\) | 0.180037 | − | 0.190829i | 0.00709447 | − | 0.00751970i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −15.3899 | − | 35.6778i | −0.605507 | − | 1.40372i | ||||
\(647\) | 2.17952 | 0.0856859 | 0.0428430 | − | 0.999082i | \(-0.486358\pi\) | ||||
0.0428430 | + | 0.999082i | \(0.486358\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −7.69281 | −0.301969 | ||||||||
\(650\) | −2.41628 | − | 5.60157i | −0.0947743 | − | 0.219712i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.26714 | + | 2.40303i | −0.0887880 | + | 0.0941098i | ||||
\(653\) | 1.08815 | − | 18.6828i | 0.0425826 | − | 0.731115i | −0.907680 | − | 0.419664i | \(-0.862148\pi\) |
0.950262 | − | 0.311451i | \(-0.100815\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.1734 | − | 2.64814i | 0.436579 | − | 0.103471i | ||||
\(656\) | −41.5311 | − | 15.1161i | −1.62152 | − | 0.590183i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.535320 | − | 0.194841i | 0.0208689 | − | 0.00759568i | ||||
\(659\) | 11.9512 | − | 7.86043i | 0.465553 | − | 0.306199i | −0.294974 | − | 0.955505i | \(-0.595311\pi\) |
0.760527 | + | 0.649306i | \(0.224941\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −24.8243 | + | 2.90155i | −0.965555 | + | 0.112857i | −0.584234 | − | 0.811586i | \(-0.698605\pi\) |
−0.381321 | + | 0.924443i | \(0.624531\pi\) | |||||||
\(662\) | 8.27579 | + | 11.1163i | 0.321648 | + | 0.432048i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.850255 | + | 14.5983i | 0.0329963 | + | 0.566524i | ||||
\(665\) | −11.2851 | − | 9.46931i | −0.437617 | − | 0.367204i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.45548 | + | 2.06039i | −0.0950764 | + | 0.0797786i | ||||
\(668\) | −2.70676 | − | 2.86900i | −0.104728 | − | 0.111005i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −26.5091 | − | 17.4353i | −1.02414 | − | 0.673586i | ||||
\(671\) | −0.713045 | − | 0.168995i | −0.0275268 | − | 0.00652397i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 29.4895 | + | 3.44683i | 1.13674 | + | 0.132866i | 0.663576 | − | 0.748109i | \(-0.269038\pi\) |
0.473163 | + | 0.880975i | \(0.343112\pi\) | |||||||
\(674\) | 3.27319 | + | 5.66933i | 0.126078 | + | 0.218374i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.04480 | − | 1.80964i | 0.0401846 | − | 0.0696017i | ||||
\(677\) | 23.1605 | − | 31.1099i | 0.890129 | − | 1.19565i | −0.0897310 | − | 0.995966i | \(-0.528601\pi\) |
0.979860 | − | 0.199685i | \(-0.0639919\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.729900 | − | 2.43803i | −0.0280110 | − | 0.0935632i | ||||
\(680\) | 20.6642 | − | 10.3780i | 0.792436 | − | 0.397977i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.40530 | + | 28.0757i | −0.321856 | + | 1.07507i | ||||
\(683\) | −2.81006 | − | 15.9367i | −0.107524 | − | 0.609799i | −0.990182 | − | 0.139784i | \(-0.955359\pi\) |
0.882658 | − | 0.470016i | \(-0.155752\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.86369 | + | 27.5833i | −0.185832 | + | 1.05391i | ||||
\(686\) | −26.2096 | − | 13.1630i | −1.00069 | − | 0.502564i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −14.8000 | + | 34.3103i | −0.564246 | + | 1.30807i | ||||
\(689\) | 3.32182 | − | 7.70084i | 0.126551 | − | 0.293379i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.7344 | − | 7.90210i | −0.598564 | − | 0.300610i | 0.123600 | − | 0.992332i | \(-0.460556\pi\) |
−0.722164 | + | 0.691722i | \(0.756852\pi\) | |||||||
\(692\) | −0.845488 | + | 4.79500i | −0.0321406 | + | 0.182279i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −5.16814 | − | 29.3100i | −0.196180 | − | 1.11259i | ||||
\(695\) | 8.73495 | − | 29.1768i | 0.331335 | − | 1.10674i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −48.9348 | + | 24.5760i | −1.85354 | + | 0.930881i | ||||
\(698\) | −14.3331 | − | 47.8760i | −0.542517 | − | 1.81213i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.568608 | − | 0.763773i | 0.0214914 | − | 0.0288679i | ||||
\(701\) | −9.33660 | + | 16.1715i | −0.352639 | + | 0.610788i | −0.986711 | − | 0.162486i | \(-0.948049\pi\) |
0.634072 | + | 0.773274i | \(0.281382\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 28.9303 | + | 50.1087i | 1.09113 | + | 1.88989i | ||||
\(704\) | −28.2504 | − | 3.30200i | −1.06473 | − | 0.124449i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −11.6560 | − | 2.76252i | −0.438679 | − | 0.103969i | ||||
\(707\) | 7.87574 | + | 5.17996i | 0.296198 | + | 0.194812i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.6076 | − | 23.9627i | −0.849047 | − | 0.899938i | 0.146966 | − | 0.989142i | \(-0.453049\pi\) |
−0.996013 | + | 0.0892040i | \(0.971568\pi\) | |||||||
\(710\) | 18.2677 | − | 15.3285i | 0.685576 | − | 0.575267i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.4497 | + | 12.1247i | 0.541526 | + | 0.454394i | ||||
\(713\) | 0.189493 | + | 3.25347i | 0.00709657 | + | 0.121843i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.55882 | − | 8.81003i | −0.245286 | − | 0.329476i | ||||
\(716\) | 0.917404 | − | 0.107229i | 0.0342850 | − | 0.00400734i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −20.2571 | + | 13.3233i | −0.755990 | + | 0.497222i | ||||
\(719\) | 43.1137 | − | 15.6921i | 1.60787 | − | 0.585216i | 0.626852 | − | 0.779139i | \(-0.284343\pi\) |
0.981017 | + | 0.193922i | \(0.0621209\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.07379 | − | 1.48274i | −0.151716 | − | 0.0552200i | ||||
\(722\) | −6.28670 | + | 1.48997i | −0.233967 | + | 0.0554511i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.0456669 | + | 0.784070i | −0.00169720 | + | 0.0291397i | ||||
\(725\) | −7.98355 | + | 8.46207i | −0.296502 | + | 0.314273i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.39466 | + | 14.8245i | 0.237165 | + | 0.549810i | 0.994681 | − | 0.103007i | \(-0.0328464\pi\) |
−0.757516 | + | 0.652817i | \(0.773587\pi\) | |||||||
\(728\) | 8.56403 | 0.317404 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −27.6992 | −1.02519 | ||||||||
\(731\) | 18.3372 | + | 42.5105i | 0.678227 | + | 1.57231i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 17.6698 | − | 18.7289i | 0.652648 | − | 0.691767i | −0.313549 | − | 0.949572i | \(-0.601518\pi\) |
0.966197 | + | 0.257805i | \(0.0829993\pi\) | |||||||
\(734\) | 1.13663 | − | 19.5151i | 0.0419536 | − | 0.720316i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.756375 | − | 0.179264i | 0.0278803 | − | 0.00660776i | ||||
\(737\) | 50.7756 | + | 18.4808i | 1.87034 | + | 0.680750i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −16.9934 | + | 6.18508i | −0.625111 | + | 0.227522i | −0.635102 | − | 0.772428i | \(-0.719042\pi\) |
0.00999089 | + | 0.999950i | \(0.496820\pi\) | |||||||
\(740\) | 3.30334 | − | 2.17264i | 0.121433 | − | 0.0798678i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 13.9239 | − | 1.62747i | 0.511162 | − | 0.0597463i | ||||
\(743\) | −26.4761 | − | 35.5636i | −0.971314 | − | 1.30470i | −0.952391 | − | 0.304880i | \(-0.901384\pi\) |
−0.0189230 | − | 0.999821i | \(-0.506024\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.687201 | − | 11.7988i | −0.0251771 | − | 0.432274i | ||||
\(746\) | −0.247642 | − | 0.207797i | −0.00906683 | − | 0.00760798i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.46379 | − | 2.90646i | 0.126649 | − | 0.106271i | ||||
\(749\) | −5.78095 | − | 6.12744i | −0.211231 | − | 0.223892i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.09320 | − | 1.37672i | −0.0763819 | − | 0.0502372i | 0.510744 | − | 0.859733i | \(-0.329370\pi\) |
−0.587126 | + | 0.809496i | \(0.699741\pi\) | |||||||
\(752\) | 0.857459 | + | 0.203222i | 0.0312683 | + | 0.00741073i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 11.9330 | + | 1.39477i | 0.434575 | + | 0.0507946i | ||||
\(755\) | 2.14057 | + | 3.70758i | 0.0779034 | + | 0.134933i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 21.8769 | − | 37.8919i | 0.795129 | − | 1.37720i | −0.127629 | − | 0.991822i | \(-0.540737\pi\) |
0.922757 | − | 0.385381i | \(-0.125930\pi\) | |||||||
\(758\) | 21.4515 | − | 28.8144i | 0.779155 | − | 1.04659i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −5.91942 | − | 19.7722i | −0.214720 | − | 0.717215i | ||||
\(761\) | 41.2979 | − | 20.7406i | 1.49705 | − | 0.751846i | 0.503366 | − | 0.864073i | \(-0.332095\pi\) |
0.993683 | + | 0.112227i | \(0.0357984\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 10.0564 | − | 33.5908i | 0.364067 | − | 1.21607i | ||||
\(764\) | −0.658078 | − | 3.73214i | −0.0238084 | − | 0.135024i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.18168 | − | 12.3729i | 0.0788272 | − | 0.447051i | ||||
\(767\) | 2.86531 | + | 1.43901i | 0.103460 | + | 0.0519598i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 11.5490 | − | 26.7737i | 0.416469 | − | 0.965483i | −0.572843 | − | 0.819665i | \(-0.694159\pi\) |
0.989311 | − | 0.145818i | \(-0.0465814\pi\) | |||||||
\(770\) | 7.27165 | − | 16.8576i | 0.262052 | − | 0.607505i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.02306 | − | 1.51824i | −0.108802 | − | 0.0546427i | ||||
\(773\) | −6.90323 | + | 39.1502i | −0.248292 | + | 1.40813i | 0.564429 | + | 0.825481i | \(0.309096\pi\) |
−0.812721 | + | 0.582653i | \(0.802015\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.05395 | + | 11.6485i | 0.0737801 | + | 0.418427i | ||||
\(776\) | 1.02260 | − | 3.41574i | 0.0367094 | − | 0.122618i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 33.3343 | − | 16.7411i | 1.19509 | − | 0.600198i | ||||
\(779\) | 14.0177 | + | 46.8225i | 0.502238 | + | 1.67759i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −24.2513 | + | 32.5751i | −0.867779 | + | 1.16563i |